摘要
本文讨论边界具有外部扰动和区域内具有反阻尼的一维波动方程的的镇定问题.主要的方法是后退反演变换和自抗扰控制方法.即通过扩张状态观测器将扰动在线估计并在反馈控制中实时消除.本文在扩张状态观测器中使用了两种增益调整策略——常数高增益与时变增益.为避免常数高增益带来的峰值问题,在控制环节中使用了饱和方法.时变的增益可以在很大程度上减少扩张状态观测器中由于常数高增益引起的峰值问题同时可以达到完全消除干扰的镇定效果.
The control objective is the asymptotical stabilization with disturbance rejection or the practical stabilization with disturbance attenuation.Back-stepping method and active disturbance rejection control （ADRC） approach are adopted in investigation.It is shown that the disturbance can be estimated in real time through an extended state observer （ESO）and be canceled in the feedback loop.Both constant gain and time-varying gain are used in ESO.To avoid the peaking value problem caused by the constant high gain in ESO,we used the saturated function method in feedback loop.The time-varying gain in ESO is first time used in an infinite-dimensional system to achieve complete disturbance rejection and peaking value reduction.
出处
《控制理论与应用》
EI
CAS
CSCD
北大核心
2013年第12期1553-1563,共11页
Control Theory & Applications
基金
国家自然科学基金资助项目(61273129)
关键词
自抗扰控制
波动方程
区域内反阻尼
不确定性
active disturbance rejection control
wave equation
in-domain anti-damping
boundary control
